You can put this solution on YOUR website! put the equation in standard form for an ellipse:
(9x^2)+54x+(25(y^2))-50y=119
complete the square
9(x^2+6x+9)+25(y^2-2y+1)=119+81+25
9(x+3)^2+25(y-1)^2=225
This is an equation of an ellipse with horizontal major axis and center at (-3,1)